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Complex Numbers

  • Thread starter GreenPrint
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Homework Statement



Evaluate (find the real and complex components) of the following numbers, in either rectangular or polar form:

[itex]\sqrt{\frac{1+j}{4-8j}}[/itex]

Homework Equations





The Attempt at a Solution



I get to here and am not sure where to go from here

[itex]\sqrt{-1/20+3/20j}[/itex]

I noticed that I can't used euler's identity here because (-1/20)^2+(3/20)^2 is not one. Thanks for any help you can provide

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
Dick
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This would be a good time to change -1/20+3j/20 to polar form.
 
  • #3
jbunniii
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I noticed that I can't used euler's identity here because (-1/20)^2+(3/20)^2 is not one.
Can you factor out a real number from [itex]-1/20 + 3i/20[/itex] so that what remains has unit magnitude? i.e. write it in the form

[tex]\frac{-1}{20} + \frac{3i}{20} = r(a + ib)[/tex]

where [itex]a^2 + b^2 = 1[/itex]
 

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